In the seminar room, chairs were arranged in rows of 17. During a workshop, 36 chairs were added to accommodate the number of people. The chairs were rearranged to form rows of 12. As a result, there were 8 more rows.
- How many chairs were there in the extra 8 rows?
- How many chairs were there in the seminar room in the end?
|
First arrangement |
Second arrangement |
Number |
1 u |
1 u + 8 |
Value |
17 |
12 |
Total value |
17 u |
12 u + 96 |
(a)
Number of chairs in the extra 8 rows
= 8 x 12
= 96
(b)
Total number of chairs in the first arrangement
= 1 u x 17
= 17 u
Total number of chairs in the second arrangement
= 12(1 u + 8)
= 12 u + 96
If 36 chairs were included in the first arrangement, the total number of chairs in the first arrangement and the second arrangement will be the same.
17 u + 36 = 12 u + 96
17 u - 12 u = 96 - 36
5 u = 60
1 u = 60 ÷ 5 = 12
Number of chairs in the seminar room in the end
= 12 x 17 + 36
= 204 + 36
= 240
Answer(s): (a) 96; (b) 240